Question

calcule o determinante de cada matriz a seguir A=[2 -3 ]
[ 4 -5]​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm Determinante~de~uma~matriz}\\\underline{\rm quadrada~de~2^a~ordem}\\\boldsymbol A=\begin{vmatrix}\sf a_{11}&\sf a_{12}\\\sf a_{21}&\sf a_{22}\end{vmatrix}\\\\\sf det~\boldsymbol A= a_{11}\cdot a_{22}- a_{21}\cdot a_{12}\end{array}}$

$\Large\boxed{\begin{array}{l}\sf\boldsymbol A=\begin{vmatrix}\sf 2&\sf-3\\\sf 4&\sf-5\end{vmatrix}\\\\\sf det~\boldsymbol A= 2\cdot(-5)-4\cdot(-3)\\\sf det~\boldsymbol A=-10+12\\\sf det~ \boldsymbol A=2 \end{array}}$